Question

enter the correct answer in the box.

a boat can travel at an average speed of 10 miles per hour in still water. traveling with the current, it can travel 6 miles in the same amount of time it takes to travel 4 miles upstream.

use the relationship \\(t = \frac{d}{r}\\) to construct a rational equation that can be solved for \\(x\\) to find the speed of the current.

Explanation:

Define variables and rates

$$
LATEXBLOCK0
$$

Set up the time equations

$$
LATEXBLOCK1
$$

Equate the times

$$
LATEXBLOCK2
$$

Answer:

A boat can travel at an average speed of 10 miles per hour in still water. Traveling with the current, it can travel 6 miles in the same amount of time it takes to travel 4 miles upstream.

Use the relationship \(t = \frac{d}{r}\) to construct a rational equation that can be solved for \(x\) to find the speed of the current.

<blank>\(\frac{6}{10 + x} = \frac{4}{10 - x}\)</blank>